The
Nature of Time
Paper 5
M.J. Bull 2015
Abstract
An
exploration through mathematics of the nature of Time and its
relationship to other physical quantities, including its role in
higher dimensions.
Contents
2. Verification
of the Equation for Time using Quantum Values
3. The
Dimensions of Time
4. Time and
Inertia
5. Time and
Space
6. Table of
Space-Time Units
Related
prior Papers
(
Paper
1,
detailing the experiments, mathematics and theory can be found in the
blog titled 'New Physics - The Relationship between Gravity, Mass,
Magnetism and Electricity' at michaeljbull.blogspot.com or published
at http://independent.academia.edu/MichaelBull1
as a downloadable PDF file under the author's name, titled “Mass,
Gravity and Unity”. Paper
2,
is titled 'Complex Space-Time' Paper
3,
titled 'Quantified and Quantum Space-Time', Paper
4,
titled 'Dark Energy – The Invisible Energy of the Cosmos' and are
published as detailed above for Paper 1.)
Summary
Time
does not have meaning without Space, and as such is not on its own a
meaningful entity, at least not within the current conceptual
capability of humans.
1. Introduction
It is often seen
in current mainstream physics thought, the concept of the fourth
dimension being synonymous with Time. To this author's knowledge
there is no published basis for this assumption supported by
research and experiment. The concept of time in the preceding Papers
1 to 4 by this author support the concept of Time as being the same
as Space in its dimensions, and along with space, constituting
space-time. Time's interaction with space creates the ratios which
represent the quantities of physics (refer
to the Table of Space-Time Units in section 6).
2. Verification of the Equation for Time, using
Quantum Values.
The equation
derived in Paper 1, section 2, being a Newtonian type equation for
Time is
t
= √
( m r / F )
and is consistent with space-time units of measurement. That
equation can be further reduced to a simpler form involving distance
(r) and inertia (ί)
using Newton's second law of motion and the derivation of the correct
unit of measure for inertia (refer
Paper 1, section 1)
by this author.
t
= √
( mr/ ma)
=
( r/a)½
=
(r ί)½
which in English
says Time equals the square root of (distance times inertia).
To
check that this equation is correct, quantum values, ( q
), can be inserted for each algebraic letter and calculations done to
ensure that the result is numerically correct. All units of measure
must be consistent and the quanta in space-time units of measure have
been previously calculated in Paper 3, Table of Energies and Table of
Motions.
In
space time units, the above equation is written
Tq
= ( Sq
x ίq
)½
=
( 1.616199 x 10-35
x 1.798266 x 10-54
)½
=
( 2.906356 x 10-89
)½
=
( 29.06356 x 10-88
)½
=
5.391063 x 10-44
sec.
=
Tq
,
exactly
as calculated by Planck as the quantum of Time.
The above proves
beyond reasonable doubt that the equation for Time is correct, and
also that this author's interpretation of Inertia is correct. Note
that Inertia is an energy quite different to Mass energy, contrary to
its treatment in many physics text books currently in use.
3. The Dimensions of Time
The
Table of Space-Time Units of Measure (section
6)
, itself verifiable from SI units of measure (Paper
1, Appendix 2),
clearly shows that Time transitions, along with Space, into at least
the three dimensions which can be perceived by humans. It is
demonstrated by velocity, a linear or orbital one dimensional Motion,
S/T; through magnetic current (B-field), S2/T2,
a quantity relating to area (S2
) in two dimensions; to gravity (G-field), S3/T3,
a quantity relating to volume (S3
) in three dimensions. The Energies have a similar relationship to
Time in its 3 dimensions demonstrated by Energy T/S, Magnetic Energy
T2/S2
to Mass Energy T3/S3.
The relationship between the three-dimensional energies and motions
is orthogonal and means that in SI units of measure,
Mass = Energy3
which Einstein originally pointed out in his own notation, being E =
mc2.
The mathematics suggest that Time, along with Space, proceeds
through higher dimensions which modern humans, in the main, do not
perceive or recognise. Observation beyond three dimensions is
therefore limited, but mathematics does not experience those
limitations and indicate that Time and Space exist beyond the third
dimension by logical extension.
4. Time and Inertia
The
verification of the Time / Inertia equation in 2. above allows an
analysis of that equation to become more than just speculation. The
equation is easier to consider if the form T2
= S ί
is used to avoid square roots. The obvious is that ί
= T2/S,
which is the space-time unit of measure for inertia. The space-time
measure is not only a unit of measure, it defines inertia
numerically. The second is S = T2/
ί
, which states that length (or distance) is a function of time and
inertia.
As inertia is reciprocal to acceleration, this equation can be
written S = a T2
which is confirmed by the similar Newtonian equation S = u T + ½ a
T2,
where u
is initial velocity. If initial velocity were zero then the two
equations are the same if the constant of integration, ½ , is
ignored. This is further evidence that the energy (inertia), and the
motion (acceleration), are reciprocal, as stated in Paper 1, section
1.
It is not
intuitively obvious that either inertia or mass are energies, which
may be why current physics does not recognize that it is so and has
no credible explanation for either quantity. The mathematically
closely related magnetic energy from a permanent magnet is readily
observable as an energy and is the two dimensional analogue of mass
energy.
5. Time and Space
While most have no
trouble conceptualizing Space, that is not the case for Time. It
appears to most as something invisible which passes in only one
direction and defines physical change, such as age, speed, entropy or
order, for example. Time is far more than these concepts, and at the
same time it is less. Time, without
Space, has no comprehensible meaning of itself, but with
Space it defines everything, including, for example, motion and
energy. It may be that a phenomenon represented by Time of itself
remains yet to be discovered.
Space, however, has
a meaning of itself without Time as exemplified by the electric
charge which has the S-T unit of S.
A charge moving through a conductor is a case of Space moving through
Matter, which is mathematically the same as Matter moving though
Space.
The Table of
Space-Time (section
6)
shows the role of Space-Time in up to four dimensions. It is known
that the ratios of Time to Space and Space to Time define the
Energies and Motions of all known and unknown related quantities. (It
is unproven whether or not the Space-Time products define the sub
atomic particles, as Matter and Anti-matter.)
It is true that Time
can be measured, but that measure is always related to a physical
process which involves Space. The reciprocal of Time 1/T, which is
frequency, is also a measure meaningless without relating it to
Space. Frequency is often used as a measure of wave energy and in so
doing relates to the energy which is defined by Time and
Space, T/S. To clarify this concept, in the mechanical system an
analogy is acceleration as a measure of the change in velocity,
denoted S/T2
which is velocity S/T times frequency 1/T which equals S/T2.
The 1/T is dependent upon the S in velocity to have meaning. To
summarise the above, Time does not have meaning without Space, and as
such is not on its own a meaningful entity, at least not within the
current conceptual capability of humans.
6.
Table of Space-Time Units of Measure.
MOTION
SPACE
EXPANSION
MATTER
S4/T4
?
|
S4/T3
?
|
S4/T2
?
|
S4/T
?
|
S4
?
|
↑
S4
|
S4
?
|
TS4
gluon
|
T2S4
photon
|
T3S4
Z-boson
|
T4S4
W-boson
|
S3/T4
?
|
S3/T3
mass
current
GRAVITY
|
S3/T2
?
|
S3/T
?
|
S3
volume
|
S3
|
S3
volume
|
TS3
top quark
|
T2S3
bottom quark
|
T3S3
tau
|
T4S3
tau neutrino
|
S2/T4
?
|
S2/T3
?
|
S2/T2
magnetic
current
|
S2/T
?
|
S2
area
|
S2
|
S2
area
|
TS2
charm quark
|
T2S2
strange quark
|
T3S2
muon
|
T4S2
muon neutrino
|
S/T4
?
|
S/T3
Δ
accel,
|
S/T2
Δ
speed,
accel.
|
S/T
speed,
elec
current
|
S
distance,
elec charge capacitance C
|
S1
|
S
distance,
elec charge
capacitance C
|
TS
up quark
|
T2S
down quark
|
T3S
electron
|
T4S
electron
neutrino
|
1/T4
?
←
|
1/T3
?
contraction
|
1/T2
?
of
time
|
1/T
frequency
|
S0/T0
= 1
Unity
MOTION
|
S0
|
T0
S0 = 1
Unity
MATTER
|
T
time
|
T2
?
expansion
|
T3
?
of
time
|
T4
?
→
|
← T -
4
|
T - 3
|
T - 2
|
T - 1
|
T0
|
O
|
T0
|
T1
|
T2
|
T3
|
T4
→
|
1/T4
?
|
1/T3
?
|
1/T2
?
|
1/T
frequency
|
1/T0
S0 = 1
Unity
ANTI-MATTER
|
S0
|
T0/S0
= 1
Unity
ENERGY
|
T
time
|
T2
?
|
T3
?
|
T4
?
|
1/T4S
anti electron
neutrino
|
1/T3S
anti electron
(positron)
|
1/T2S
anti down quark
|
1/TS
anti up quark
|
1/S
power
|
S-1
|
1/S
power
|
T/S
energy
electric
energy
|
T2/S
inertia
|
T3/S
moment of inertia
|
T4/S
?
|
1/T4S2
anti muon
neutrino
|
1/T3S2
anti muon
|
1/T2S2
anti strange
quark
|
1/TS2
anti charm
quark
|
1/S2
?
|
S-2
|
1/S2
?
|
T/S2
force,
elect potential V
|
T2/S2
momentum
magnetic
energy
elec resistivity σ
|
T3/S2
?
|
T4/S2
?
|
1/T4S3
anti tau
neutrino
|
1/T3S3
anti tau
|
1/T2S3
anti bottom
quark
|
1/TS3
anti top quark
|
1/S3
?
|
S-3
|
1/S3
?
|
T/S3
elect field intensity E
|
T2/S3
elec resis R
magnetic potential
|
T3/S3
MASS
energy
|
T4/S3
?
|
1/T4S4
anti W-boson
|
1/T3S4
anti Z-boson
|
1/T2S4
anti photon
|
1/TS4
anti gluon
|
1/S4
?
|
S-4
↓
|
1/S4
?
|
T/S4
pressure
|
T2/S4
magnetic intensity H
|
T3/S4
mag resist μ
|
T4/S4
?
|
ANTI
– MATTER
SPACE
CONTRACTION
ENERGY
Ratios
marked ? are unknown to current physics and are predicted to exist as
quantities yet to be defined and researched by science.